Margo can purchase tile at a store for $0.79 per tile and rent a tile saw for $24. At another store she can borrow the tile saw

Question

3 years ago

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Margo can purchase tile at a store for $0.79 per tile and rent a tile saw for $24. At another store she can borrow the tile saw

for free if she buys tiles there for $1.19 per tile. How many tiles must she buy for the cost to be the same at both stores?
Margo must buy_____ tiles for the cost to be the same at both stores.

Mathematics

1 answer:

KATRIN_1 [288] · Answer 1 · 2022-05-18T11:52:46+03:00

Margo must buy 60 tiles for the cost to be the same at both stores.

Step-by-step explanation:

Let x be the number of tiles purchased

Then

For Store 1:

24+0.79x

For store 2:

1.19x

For the number of tiles, we have to put both expression equal

$24+0.79x = 1.19x$

subtracting 24 from both sides

$24+0.79x-24 = 1.19x-24\\0.79x=1.19x-24$

Subtracting 1.19x from both sides

$0.79x-1.19x = 1.19x-24-1.19x\\-0.4x = -24$

Dividing both sides by -0.4

$\frac{-0.4x}{-0.4} = \frac{-24}{-0.4}\\x =60$

Hence,

Margo must buy 60 tiles for the cost to be the same at both stores.

Keywords: Linear equations

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